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Course Detail

Course Name Wavelet-based Signal Processing and Application
Course Code 15ECE334
Program B. Tech. in Electronics and Communication Engineering
Year Taught 2019

Syllabus

Unit 1

Review of mathematical preliminaries: Vector – Function space – Basis function – Review of fourier theory and properties of fourier transform – Short time fourier transform – Heisenberg’s uncertainty principle – Continuous wavelet transform – CWT and its Properties – DWT – Time-frequency tiling

Unit 2

Discrete Wavelet Transform – Haar scaling function – Nested spaces – Wavelet function. Designing orthogonal wavelet systems: Daubechies – Coiflet – Symlet wavelet system coefficients – Signal decomposition using DWT – Relation to filter banks and frequency response – Signal reconstruction using DWT – M band wavelets.

Unit 3

Introduction to bi-orthogonal wavelets – Introduction to lifting scheme- Applications of wavelet transform: Image processing – Image compression – De-noising – audio coding – channel coding.

Text Books

  1. K. P. Soman, K. I. Ramachandran, “Insight into Wavelets: From Theory to Practice”, Third Edition, PHI, 2004.

Resources

  1. Gilbert Strang and Truong Nguyen, “Wavelets and Filter banks”, Wellesley Cambridge Press, 1996.
  2. R. M. Rao and Ajit S. Bopardikar, “Wavelet Transform, Introduction to theory and Applications”, Addison-Wesley, 1998.

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